The shallow decay segment of GRB X-ray afterglow revisited

TL;DR

This study revisits the shallow decay phase of GRB X-ray afterglows using an expanded dataset, confirming its consistency with external-shock models and exploring correlations between various physical parameters.

Contribution

It provides an updated analysis of the shallow decay segment with a larger sample, refining the understanding of its properties and physical origin, especially the energy injection from a long-lived central engine.

Findings

Distributions of decay properties follow normal or lognormal patterns.

Spectral evolution between segments is generally insignificant.

Correlations support the external-shock and energy injection models.

Abstract

Based on the early-year observations from Neil Gehrels \emph{Swift} Observatory, \cite{liang07} performed a systematic analysis for the shallow decay component of gamma-ray bursts (GRBs) X-ray afterglow, in order to explore its physical origin. Here we revisit the analysis with an updated sample (with Swift/XRT GRBs between February 2004 and July 2017). We find that with a larger sample, 1) the distributions of the characteristic properties of the shallow decay phase (e.g. $t_{b}$ , $S_{X}$, $\Gamma_{X,1}$, and $\alpha_{X,1}$) still accords with normal or lognormal distribution; 2) $\Gamma_{X,1}$ and $\Gamma_{\gamma}$ still show no correlation, but the tentative correlations of durations, energy fluences, and isotropic energies between the gamma-ray and X-ray phases still exist; 3) for most GRBs, there is no significant spectral evolution between the shallow decay segment and its follow-up segment, and the latter is usually consistent with the external-shock models; 4) assuming that the central engine has a power-law luminosity release history as $L(t)=L_{0}(\frac{t}{t_{0}})^{-q}$, we find that the value $q$ is mainly distributed between -0.5 and 0.5, with an average value of 0.16$\pm$ 0.12; 5) the tentative correlation between $E_{\rm{iso},X}$ and $t'_{b}$ disappears, so that the global 3-parameter correlation ($E_{\rm{iso},X}-E'_{p}-t'_{b}$) becomes less significant; 6) the anti-correlation between $L_{X}$ and $t'_{b}$ and the three-parameter correlation ($E_{\rm{iso},\gamma}-L_{X}-t_{b}$) indeed exist with a high confidence level. Overall, our results are generally consistent with \cite{liang07}, confirming their suggestion that the shallow decay segment in most bursts is consistent with an external forward shock origin, probably due to a continuous energy injection from a long-lived central engine.